Browse > Article
http://dx.doi.org/10.12989/sem.2022.82.4.469

Analysis of photothermal response in a two-dimensional semiconducting material thermally excited by pulse heat flux  

Saeed, Tareq (Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University)
Abbas, Ibrahim (Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University)
Publication Information
Structural Engineering and Mechanics / v.82, no.4, 2022 , pp. 469-476 More about this Journal
Abstract
A mathematical model of Lord-Shulman photo-thermal theorem induced by pulse heat flux is presented to study the propagations waves for plasma, thermal and elastic in two-dimensional semiconductor materials. The medium is assumed initially quiescent. By using Laplace-Fourier transforms with the eigenvalue method, the variables are obtained analytically. A semiconductor medium such as silicon is investigated. The displacements, stresses, the carrier density and temperature distributions are calculated numerically and clarified graphically. The outcomes show that thermal relaxation time has varying degrees of effects on the studying fields.
Keywords
eigenvalues approach; Laplace-Fourier transform; photo-thermal wave; Thermal relaxation time;
Citations & Related Records
Times Cited By KSCI : 15  (Citation Analysis)
연도 인용수 순위
1 Abbas, I.A. (2014), "Nonlinear transient thermal stress analysis of thick-walled FGM cylinder with temperature-dependent material properties", Meccanica, 49(7), 1697-1708. https://doi.org/10.1007/s11012-014-9948-3.   DOI
2 Abbas, I.A., Alzahrani, F.S. and Elaiw, A. (2019), "A DPL model of photothermal interaction in a semiconductor material", Wave. Random Complex Media, 29(2), 328-343. https://doi.org/10.1080/17455030.2018.1433901.   DOI
3 Lata, P. and Singh, S. (2020), "Plane wave propagation in a nonlocal magneto-thermoelastic solid with two temperature and Hall current", Wave. Random Complex Media, 1-27. https://doi.org/10.1080/17455030.2020.1838667.   DOI
4 Lata, P. and Zakhmi, H. (2020), "Time harmonic interactions in an orthotropic media in the context of fractional order theory of thermoelasticity", Struct Eng Mech., 73(6), 725-735. https://doi.org/10.12989/sem.2020.73.6.725.   DOI
5 Lord, H.W. and Shulman, Y. (1967), "A generalized dynamical theory of thermoelasticity", J. Mech. Phys. Solid., 15(5), 299-309. https://doi.org/10.1016/0022-5096(67)90024-5.   DOI
6 Marin, M. (1999), "An evolutionary equation in thermoelasticity of dipolar bodies", J. Math. Phys., 40(3), 1391-1399. https://doi.org/10.1063/1.532809.   DOI
7 Alzahrani, F.S. and Abbas, I.A. (2016), "The effect of magnetic field on a thermoelastic fiber-reinforced material under GN-III theory", Steel Compos. Struct., 22(2), 369-386. http://dx.doi.org/10.12989/scs.2016.22.2.369.   DOI
8 Abbas, I.A., El-Amin, M. and Salama, A. (2009), "Effect of thermal dispersion on free convection in a fluid saturated porous medium", Int. J. Heat Fluid Flow, 30(2), 229-236. https://doi.org/10.1016/j.ijheatfluidflow.2009.01.004.   DOI
9 Abbas, I.A. and Kumar, R. (2016), "2D deformation in initially stressed thermoelastic half-space with voids", Steel Compos. Struct., 20(5), 1103-1117. https://doi.org/10.12989/scs.2016.20.5.1103.   DOI
10 Abbas, I.A. and Zenkour, A.M. (2014), "The effect of rotation and initial stress on thermal shock problem for a fiber-reinforced anisotropic half-space using Green-Naghdi theory", J. Comput. Theor. Nanosci., 11(2), 331-338. https://doi.org/10.1166/jctn.2014.3356.   DOI
11 Alzahrani, F.S. and Abbas, I.A. (2019), "Photo-thermo-elastic interactions without energy dissipation in a semiconductor half-space", Result. Phys., 102805. https://doi.org/10.1016/j.rinp.2019.102805.   DOI
12 Todorovic, D. (2005), "Plasmaelastic and thermoelastic waves in semiconductors", J. Physique IV (Proceed.), 125, 551-555. https://doi.org/10.1051/jp4:2005125127.   DOI
13 Abbas, I.A. (2015), "The effects of relaxation times and a moving heat source on a two-temperature generalized thermoelastic thin slim strip", Can. J. Phys., 93(5), 585-590. https://doi.org/10.1139/cjp-2014-0387.   DOI
14 Baksi, A., Roy, B.K. and Bera, R.K. (2008), "Study of two dimensional visco-elastic problems in generalized thermoelastic medium with heat source", Struct. Eng. Mech., 29(6), 673-687. http://doi.org/10.12989/sem.2008.29.6.673.   DOI
15 Mohamed, R., Abbas, I.A. and Abo-Dahab, S. (2009), "Finite element analysis of hydromagnetic flow and heat transfer of a heat generation fluid over a surface embedded in a non-Darcian porous medium in the presence of chemical reaction", Commun. Nonlin. Sci. Numer. Simul., 14(4), 1385-1395. https://doi.org/10.1016/j.cnsns.2008.04.006.   DOI
16 Othman, M.I. and Marin, M. (2017), "Effect of thermal loading due to laser pulse on thermoelastic porous medium under GN theory", Result. Phys., 7 3863-3872. https://doi.org/10.1016/j.rinp.2017.10.012.   DOI
17 Song, Y., Todorovic, D.M., Cretin, B., Vairac, P., Xu, J. and Bai, J. (2014), "Bending of semiconducting cantilevers under photothermal excitation", Int. J. Thermophys., 35(2), 305-319. https://doi.org/10.1007/s10765-014-1572-x.   DOI
18 Stehfest, H. (1970), "Algorithm 368: Numerical inversion of Laplace transforms [D5]", Commun. ACM, 13(1), 47-49. https://doi.org/10.1145/361953.361969.   DOI
19 Todorovic, D. (2003), "Plasma, thermal, and elastic waves in semiconductors", Rev. Scientif. Instrument., 74(1), 582-585. https://doi.org/10.1063/1.1523133.   DOI
20 Abbas, I.A. (2014), "The effects of relaxation times and a moving heat source on a two-temperature generalized thermoelastic thin slim strip", Can. J. Phys., 93(5), 585-590. https://doi.org/10.1139/cjp-2014-0387.   DOI
21 Abbas, I.A. and Alzahrani, F.S. (2016), "Analytical solution of a two-dimensional thermoelastic problem subjected to laser pulse", Steel Compos. Struct., 21(4), 791-803. https://doi.org/10.12989/scs.2016.21.4.791.   DOI
22 Abbas, I.A. and Kumar, R. (2014), "Deformation due to thermal source in micropolar generalized thermoelastic half-space by finite element method", J. Comput. Theor. Nanosci., 11(1), 185-190. https://doi.org/10.1166/jctn.2014.3335.   DOI
23 Ailawalia, P. and Kumar, A. (2019), "Ramp type heating in a semiconductor medium under photothermal theory", Silicon, 1-10. https://doi.org/10.1007/s12633-019-00130-8.   DOI
24 Alzahrani, F.S. and Abbas, I.A. (2020), "Fractional order GL model on thermoelastic interaction in porous media due to pulse heat flux", Geomech. Eng., 23(3), 217-225. http://doi.org/10.12989/gae.2020.23.3.217.   DOI
25 Das, N.C., Lahiri, A. and Giri, R.R. (1997), "Eigenvalue approach to generalized thermoelasticity", Ind. J. Pure Appl. Math., 28(12), 1573-1594.
26 Kaur, H. and Lata, P. (2020), "Effect of thermal conductivity on isotropic modified couple stress thermoelastic medium with two temperatures", Steel Compos. Struct., 34(2), 309-319. https://doi.org/10.12989/scs.2020.34.2.309.   DOI
27 Bhatti, M.M., Marin, M., Zeeshan, A., Ellahi, R. and Abdelsalam, S.I. (2020), "Swimming of motile gyrotactic microorganisms and nanoparticles in blood flow through anisotropically tapered arteries", Front. Phys., 8, 95. https://doi.org/10.3389/fphy.2020.00095.   DOI
28 Debnath, L. and Bhatta, D. (2016), Integral Transforms and their Applications, Chapman and Hall/CRC.
29 Ezzat, M.A. and El-Bary, A.A. (2016), "Magneto-thermoelectric viscoelastic materials with memory-dependent derivative involving two-temperature", Int. J. Appl. Electromagnet. Mech., 50(4), 549-567. https://doi.org/10.3233/JAE-150131.   DOI
30 Kakar, R. and Kakar, S. (2015), "Edge wave propagation in an Electro-Magneto-Thermoelastic homogeneous plate subjected to stress", Struct. Eng. Mech., 53(6), 1201-1214. http://doi.org/10.12989/sem.2015.53.6.1201.   DOI
31 Khamis, A.K., El-Bary, A.A., Lotfy, K. and Bakali, A. (2020), "Photothermal excitation processes with refined multi dual phase-lags theory for semiconductor elastic medium", Alex. Eng. J., 59(1), 1-9. https://doi.org/10.1016/j.aej.2019.11.016.   DOI
32 Todorovic, D. (2003), "Photothermal and electronic elastic effects in microelectromechanical structures", Rev. Scientif. Instrument., 74(1), 578-581. https://doi.org/10.1063/1.1520324.   DOI
33 Lata, P. (2018), "Effect of energy dissipation on plane waves in sandwiched layered thermoelastic medium", Steel Compos. Struct., 27(4), 439-451. http://doi.org/10.12989/scs.2018.27.4.439.   DOI
34 Lata, P. and Singh, S. (2020), "Time harmonic interactions in non local thermoelastic solid with two temperatures", Struct. Eng. Mech., 74(3), 341-350. http://doi.org/10.12989/sem.2020.74.3.341.   DOI
35 Khan, A.A., Bukhari, S.R., Marin, M. and Ellahi, R. (2019), "Effects of chemical reaction on third-grade MHD fluid flow under the influence of heat and mass transfer with variable reactive index", Heat Transf. Res., 50(11), 1061-1080. https://doi.org/10.1615/HeatTransRes.2018028397.   DOI
36 Hobiny, A. and Abbas, I. (2019), "A GN model on photothermal interactions in a two-dimensions semiconductor half space", Result. Phys., 15, 102588. https://doi.org/10.1016/j.rinp.2019.102588.   DOI
37 Mandelis, A., Nestoros, M. and Christofides, C. (1997), "Thermoelectronic-wave coupling in laser photothermal theory of semiconductors at elevated temperatures", Opt. Eng., 36(2), 459-468. https://doi.org/10.1117/1.601217.   DOI
38 Lotfy, K., Hassan, W., El-Bary, A.A. and Kadry, M.A. (2020), "Response of electromagnetic and Thomson effect of semiconductor medium due to laser pulses and thermal memories during photothermal excitation", Result. Phys., 16, 102877. https://doi.org/10.1016/j.rinp.2019.102877.   DOI
39 Marin, M., Vlase, S. and Paun, M. (2015), "Considerations on double porosity structure for micropolar bodies", Aip Adv., 5(3), 037113. https://doi.org/10.1063/1.4914912.   DOI
40 Song, Y., Todorovic, D.M., Cretin, B. and Vairac, P. (2010), "Study on the generalized thermoelastic vibration of the optically excited semiconducting microcantilevers", Int. J. Solid. Struct., 47(14-15), 1871-1875. https://doi.org/10.1016/j.ijsolstr.2010.03.020.   DOI
41 Yasein, M.D., Mabrouk, N., Lotfy, K. and EL-Bary, A. (2019), "The influence of variable thermal conductivity of semiconductor elastic medium during photothermal excitation subjected to thermal ramp type", Result. Phys., 15, 102766. https://doi.org/10.1016/j.rinp.2019.102766.   DOI
42 Zenkour, A.M. and Abbas, I.A. (2014), "A generalized thermoelasticity problem of an annular cylinder with temperature-dependent density and material properties", Int. J. Mech. Sci., 84, 54-60. https://doi.org/10.1016/j.ijmecsci.2014.03.016.   DOI
43 Lata, P. and Singh, S. (2021), "Stoneley wave propagation in nonlocal isotropic magneto-thermoelastic solid with multi-dual-phase lag heat transfer", Steel Compos. Struct., 38(2), 141. http://doi.org/10.12989/scs.2021.38.2.141.   DOI
44 Lata, P. and Zakhmi, H. (2019), "Fractional order generalized thermoelastic study in orthotropic medium of type GN-III", Geomech. Eng., 19(4), 295-305. http://doi.org/10.12989/gae.2019.19.4.295.   DOI
45 Kaur, I., Lata, P. and Singh, K. (2020), "Memory-dependent derivative approach on magneto-thermoelastic transversely isotropic medium with two temperatures", Int. J. Mech. Mater. Eng., 15(1), 1-13. https://doi.org/10.1186/s40712-020-00122-2.   DOI
46 Kumar, R. and Devi, S. (2010), "Thermomechanical deformation in porous generalized thermoelastic body with variable material properties", Struct. Eng. Mech., 34(3), 285-300. https://doi.org/10.12989/sem.2010.34.3.285.   DOI
47 Lata, P. and Kaur, H. (2019), "Deformation in transversely isotropic thermoelastic medium using new modified couple stress theory in frequency domain", Geomech. Eng., 19(5), 369. http://doi.org/10.12989/gae.2019.19.5.369.   DOI
48 Lata, P. and Kaur, I. (2019), "Thermomechanical interactions in transversely isotropic magneto thermoelastic solid with two temperatures and without energy dissipation", Steel Compos. Struct., 32(6), 779-793. http://doi.org/10.12989/scs.2019.32.6.779.   DOI